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The Unit Circle by Norm Prokup (4)

The Unit Circle by Norm Prokup (4)
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2016-06-17 07:06
CircleTrigonometryGeometric Construction
This example demonstrates the construction of the unit circle. The unit circle, with a radius of 1, is significant in mathematics due to its relationship with trigonometric functions. Using GeoGebra commands such as Circle, Point, Rotate, etc., the example dynamically shows the relationship between points on the unit circle and trigonometric function values. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(h) → D
  3. Point(g) → E
  4. CurveCartesian((x(E) * cos(t)), (y(D) * sin(t)), t, 0, (2 * π)) → a
  5. Rotate(B, γ, A) → B'
  6. Angle(B, A, B') → α
  7. Textfield(γ) → InputBox1
  8. Rotate(B, γ, A) → B'_1
  9. Segment(A, B') → f
  10. Angle(B, A, B') → β
  11. Ray(A, B') → i
  12. Intersect(i, a) → C, F, G